重新审视PSF模型:统一框架和高性能实施
Yan Liu1, Vasiliki Stergiopoulou2,3, Jonathan Chuah1
1Biomedical Imaging Group, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.
Journal of microscopy
|November 4, 2025
概括
准确的点传播函数 (PSF) 模型对于定位显微镜至关重要. 这项研究统一了富里埃和贝塞尔的方法,提供了一个PyTorch库,用于高效的PSF计算和比较.
科学领域:
- 光学成像技术的使用.
- 计算显微镜的计算显微镜
- 用光子建模进行光子建模
背景情况:
- 准确的点分布函数 (PSF) 模型对于像定位显微镜这样的先进成像技术至关重要.
- 基于富里埃变换或贝塞尔积分的高数值孔径系统中光传播的现有模型缺乏全面的比较.
- 目前在Java或MATLAB中的软件实现限制了与现代深度学习框架的集成.
研究的目的:
- 系统地回顾和比较用于PSF建模的福里埃和贝塞尔方法.
- 开发一个统一的理论框架,证明这些方法的等价性.
- 为高性能,开源库提供高效的PSF计算,兼容深度学习.
主要方法:
- 从理查兹-沃尔夫积分推导,以建立一个统一的框架.
- 富里埃和贝塞尔策略之间的等价性的数学证明.
- 使用PyTorch开发一个开源库,用于CPU/GPU上的高性能计算.
主要成果:
- 证明了富里埃和贝塞尔PSF建模策略之间的等价性.
- 引入了适用于两种方法的校正因数.
- 基准准确度和计算速度,显示贝塞尔对轴对称束最好,福里埃对一般情况下最好.
结论:
- 开发的PyTorch库可以实现高效准确的PSF计算.
- 提供了现有PSF模型的首次深入比较.
- 便于将PSF建模集成到基于深度学习的模拟和优化管道中.
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